A MultiPhase Field Concept: Numerical Simulations of Moving Phase Boundaries and Multiple Junctions
- 1 January 1999
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 60 (1), 295-315
- https://doi.org/10.1137/s0036139998334895
Abstract
We present numerical simulations which support the formal asymptotic analysisrelating a multi order parameter Allen--Cahn system to a multi phase interfaceproblem with curvature dependent evolution of the interfaces and angle conditions attriple junctions. Within the gradient energy of the Allen--Cahn system, the normalto an interface between phases i and j is modeled by the irreducible representations(u i ru j \Gamma u j ru i )=ju i ru j \Gamma u j ru i j, where u i and u j are the...Keywords
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